48180111378432 has 192 divisors, whose sum is σ = 140166461897280. Its totient is φ = 14595828940800.

The previous prime is 48180111378419. The next prime is 48180111378437. The reversal of 48180111378432 is 23487311108184.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×48180111378432² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48180111378437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238673382 + ... + 238875162.

It is an arithmetic number, because the mean of its divisors is an integer number (730033655715).

Almost surely, 2^{48180111378432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48180111378432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70083230948640).

48180111378432 is an abundant number, since it is smaller than the sum of its proper divisors (91986350518848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48180111378432 is a wasteful number, since it uses less digits than its factorization.

48180111378432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205350 (or 205330 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 51.

The spelling of 48180111378432 in words is "forty-eight trillion, one hundred eighty billion, one hundred eleven million, three hundred seventy-eight thousand, four hundred thirty-two".